Thick Marks From Edger

I got my bathroom ready to paint by patching holes, sanding, and priming. I bought an edging tool and when I applied the first coat of paint, I accidentally used too much paint and now there are thick lines about 2 inches from the border.

After all the walls were painted, with Valspar ultra premium interior kitchen and bath enamel, I used a fine sandpaper and tried to sand down the lines and painted a second coat. But no luck, the lines still show through.

Should I use a medium grit sandpaper and sand down the lines more? I didn’t want to peel the paint if I sanded too hard.

I would really like to prevent painting the walls a third time and just touch up the thick lines. Any help would be amazing!